Improved Accuracy of Linear Multistep Methods

Authors

Samir Karaa, Department of Mathematics and Statistics, Sultan Qaboos University, P. O. Box 36, Al-Khod 123, Muscat, Sultanate of OmanFollow

Author Country (or Countries)

Sultanate of Oman

Abstract

We present a technique for improving the accuracy of a given multistep method. We first propose a new formulation of the θ-method providing a general framework for studying stability and allowing to select the appropriate values of the parameter θ that increase the order of accuracy. The idea is followed through to generate optimal linear multistep methods.

Suggested Reviewers

N/A

Recommended Citation

Karaa, Samir (2013) "Improved Accuracy of Linear Multistep Methods," Applied Mathematics & Information Sciences: Vol. 07: Iss. 2, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss2/8